The equation z? + 6* – 2x + 6 = 0 has two roots. The smaller root is and the bigger root is

Q: How many real solutions are there to the equation |2x – 3|+ |5 – 2x| = 2? Select one: а. 1 С. 2 d. 3…

A: We will use basic of set theory to solve this question.

Q: Solve the equation x3 - 17x + 4 = 0 given that 4 is a root.

A: Given that x=4 is a root. So (x-4) is a factor. So, we will use synthetic division to find the other…

Q: What number is added to both sides of the equation x2-8x+3=0 to solve it by completing the square?

A: The given equation is

Q: Find the roots of the algebraic equation x + 10x² + 41x + 50 =

A: Given, the equation                             x3+10x2+41x+50=0

Q: Find the fourth roots for the equation z4-2z²+4=0

A:

Q: If -5 is a root of the quadratic equation 2x^2 +px-15=0o and the quadratic equation P(x^2 +x)+K=0…

A: GIVEN: 2x2 + px - 15 = 0              Root of this equation is -5

Q: What value for a will result in an equation with infintely many solutions? a(x + 5) = 3x + 15

A:

Q: Find all real solutions of the equation.

A: 2x2+3x-12 = 0                  by using quadratic formula.…

Q: The roots of the equation x2+(m-2)x+4m-6=0 are x1 and x2. So: what is x,2 + x2² = ? at least?

A: Solution: The objective is to find x12+x22

Q: The equation x-7x²+ 14x² +2x-20=0 has how many roots?

A: we have to apply properties of polynomials to solve the question

Q: Find the number of roots for the equation. 5x4 + 12x³ – x² + 3x + 5 = 0

A: As we know that the number of roots is equal to the highest power of the polynomial.

Q: What is the possible values of b when the difference between the roots of the equation x² + bx +1=0…

A:

Q: (x-4)(x-2)= -1 ,must be solved using the quadratic formula.

A: Given,(x-4)(x-2)=-1Consider the LHS(x-4)(x-2)

Q: Find all solutions of y'=(2xy)^2-(y^2)

A: (i) Consider the given differential equation as y'=2xy2-y2. Taking y'=dydx, the above differential…

Q: Find all real solutions of the equation: (5x + 9)4 − (5x + 9)3 = 0

A: Here we have to find the all real solutions of the equation: (5x + 9)4 − (5x + 9)3 = 0

Q: Solve the qudaratic equation  by factorization x2+x-(a+1)(a+2)=0

A:

Q: Solve the equations below for x, if pos 3x-1 a. %3D 4. 11 b. 6 – 5(2x – 3) = 4x + 7 %3D 3x c. + 2 =…

A: The general rules for solving equations for x are: i) simplification of each sides of the equation…

Q: fa is a root of the equation 4x² + 2x - 1 = 0, then prove that ²3 is the other root

A:

Q: Find all solutions of the equation.

A: To find the solution of the equation, 6x5+19x4+x3-6x2=0 Factor out the common term x2,…

Q: Find all solutions to the equation |5-3x| -2 +x = 2x + 5

A:

Q: Q9: Solve the following equations a. (5/6)X -15 b. 9x-6-3x-15+4x-7 С. х+3/8)x-77

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: The equation –12x + 5 = 8x has x = - as the solution. %3D 4 O True O False

A:

Q: The discriminant of the quadratic equation 4x+7z-4 0 is O 15

A:

Q: If a rock falls from a height of 20 meters on the planet Jupiter, its height H (in meters) after x…

A: Consider the given function. Hx=20-13x2 (a) Put x=1 in the function. H1=20-1312=7 m Put x=1.1 in the…

Q: Find all real solutions of the equation.

A: Given: 8x-1=3

Q: Use the techniques presented in this section to find all solutions of the given equation   2x3 + 6x…

A: Given: To find: all solutions of the given equation     2x3+6x-3=0

Q: (b) Solve the equation 0=x- 3x-18. What extraneous root was introduced by multiplying by (x-6) on…

A:

Q: 5. Find all solutions for the equation: 2x + 4x? – 30x= 0

A:

Q: Find all real and imaginary solutions to the equation. 4x3 – 28x? – x + 7 = 0 -

A: We will find the real and imaginary roots of given cubic equation as shown below

Q: find the value of k if -5 is one of the roots of the quadratic equation x^2 - KX + 10 = 0​

A: We have to find the value of k if -5 is one of the roots of the quadratic equation x2 - kx + 10 = 0…

Q: I'm looking for a step-by-step solution to solve the roots of this equation by completing the…

A: We need to solve the following quadratic equation 3x2+2x+73 = 0

Q: x^2 + 4 = 16x What type of roots does the equation have ?

A:

Q: 8. What is the sum of all the roots of the equation | y+ 2 2 + 3y+ = 4? y y A) -5 В) —4 C) -3 D) -2

A: A detailed solution is given below.

Q: If one root of the quadratic equation 2x? + kx -6 = 0 is 2, find the value of k Also, find the other…

A: given that one root of equation is 2

Q: olo Compute the value of the discriminant and give the number of real solutions of the quadratic…

A: The discriminant, D , for the quadratic equation, is calculated using the formula, .

Q: Find all the roots of the equation. 4x* - 24x +57x? +18x-45 = 0 if one root is 3 +i6.

A:

Q: 5. Write an equation that would have infinitely man solutions with the equatio below: 5x + 3y-12

A: We have been given the equation  5x +3y - 12

Q: (1) Solve the following: (a) 4x2-1 = 64 (b) 81-x =4x+2   (c)22x +2x  − 12 = 0

A: Part a,Given,          4x2-1=64

Q: A part of jennifer's work to solve the equation 2 (6x^2 - 3) = 11x^2 - x is show below. Given:…

A: The given equation is  2(6x^2 - 3) = 11x^2 - x

Q: 7(3x + 1) = 21x+7

A: Topic-real number

Q: "Vhich of the following equations cannot be solved using the method of indetermined coefficients

A: From the given equations find out the equation which cannot be solved by using the method of…

Q: (4) Find ß such that the equation Bx² + x + B = 0 has a repeated real solution.

A: General quadratic equation: ax2 +bx + c = 0 For repeated real roots : D = 0 D = b2 -4ac = 0

Q: Find all positive integer solutions to the equation 3x2 – xy - 2x + y +9= 0.

A: 3x2 – xy - 2x + y +9= 0

Q: The equation x10 – 10x2+5 = 0 has a root in (0, 1) Select one:

A: The given equation is x10-10x2+5 =0  and the given interval is 0, 1. Let f(x) be continuous function…

Q: The solutions of the quadratic equation x? + 4x +7 = 0 are -4+iv19 -7tiv12 2 -4tiv12 4 -4+iv26 2…

A:

Q: Q.3. Solve the equation x+x-8x-12 0, given that it has two equal roots.

A: The given equation is: x3+x2-8x-12=0

Q: 2. Solve the equation x-3x-9x-5=0, given that it has two equal roots.

A: to solve the given equation

Q: For what values of b the equation       x2 - 4x + 4b = 0 has two real solutions?

A:

Q: What is/are the value/s of k in the quadratic equation 2x² – 5x – k = 0 whose roots are imaginary?…

A:

Q: Find all real solutions of the equation below: 5x2 – 7x + 5 = 0 -

A: